37 citations · 69 across the 10 of their papers we have counts for
4 papers · 2 filters
Periodic maximal flats are not peripheral
Alexandra Pettet, Juan Souto
We prove that every non-positively curved locally symmetric manifold M of finite volume contains a compact set K such that no periodic maximal flat can be homotoped out of K.
Geometric limits of knot complements, II: Graphs determined by their complements
Richard P. Kent, Juan Souto
We prove that there are compact submanifolds of the 3-sphere whose interiors are not homeomorphic to any geometric limit of hyperbolic knot complements.
Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3-manifolds
Juan Souto
In this survey we discuss how geometric methods can be used to study topological properties of 3-manifolds such as their Heegaard genus or the rank of their fundamental group. On t…
Shearing coordinates and convexity of length functions on Teichmueller space
M. Bestvina, K. Bromberg, K. Fujiwara +1
We prove that there are Fenchel-Nielsen coordinates for the Teichmueller space of a finite area hyperbolic surface with respect to which the length functions are convex.